Question

1. here is the rainfall in tain for a week in january. a. which day did the lowest rainfall occur and how much rain fell? b. what is the mode of this rainfall? c. what is the mean of this rainfall? d. what is the range of this rainfall? 5. the average snowfall in the cairngorms mountains over december and january is measured each week. a. what was the total amount of snowfall during the eight weeks? b. what is the mode of this snowfall? c. what is the mean of this snowfall? d. what is the range of this snowfall?

Explanation:

Problem 4

a.

Step1: Compare rainfall amounts

Compare \(7mm\), \(6mm\), \(0mm\), \(0mm\), \(3mm\), \(5mm\), \(0mm\).

Step2: Identify lowest value

The lowest value is \(0mm\), which occurs on Wed, Thurs, Sun.

Step1: Recall mode definition

The mode is the value that appears most frequently.

Step2: Count frequencies

\(0mm\) appears \(3\) times, \(7mm\) appears \(1\) time, \(6mm\) appears \(1\) time, \(3mm\) appears \(1\) time, \(5mm\) appears \(1\) time.

Step1: Calculate sum of rainfall

\(7 + 6+0 + 0+3 + 5+0=\sum x=21mm\)

Step2: Calculate number of days

\(n = 7\)

Step3: Use mean formula \(\bar{x}=\frac{\sum x}{n}\)

\(\bar{x}=\frac{21}{7}=3mm\)

Answer:

The lowest rainfall ( \(0mm\) ) occurred on Wednesday, Thursday and Sunday.

b.